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Charles Beck edited PH1 stable?.tex
almost 9 years ago
Commit id: 326e5ce41ad402d4e2e00133097b5c24f4b928de
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which means for an outer region orbit, the planet is \textit{not} stable.
\subsection{Taking into Account the Second Binary}
The last two calculations are derived from simulations involving only two stars, but PH1 is a four star system so the calculations may not be accurate. To get a better understanding of the system's actual stability, we will make a few generalizations. First, we will consider each binary as a single mass. Then using that assumption, we will consider the planet as a test particle with an inner orbit. Lastly, we will make a final calculation considering the second binary as a test particle with an outer orbit.
Using this model, the Mass, Semimajor Axis, and Eccentricity of each body are as follows:
\begin{table}[h]
\begin{tabular}{llll}
& \textbf{Binary 1} & \textbf{Planet} & \textbf{Binary 2} \\